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Finding the Fourth Proportional to 239.64, 331.30 and 229.44

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Solution

The fourth proportional to 239.64, 331.30 and 229.44 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.64 : 331.30 = 229.44 : x
  2. Step 2: Convert to fraction form
    239.64/331.30 = 229.44/x
  3. Step 3: Cross multiply
    239.64x = 331.30 × 229.44
  4. Step 4: Simplify right side
    239.64x = 76,013.47
  5. Step 5: Solve for x
    x = 76,013.47/239.64
  6. Step 6: Final answer
    x = 317.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.